Capacitance between Two Points in an Infinite Grid
General Physics
2009-09-30 v1
Abstract
The capacitance between two adjacent nodes on an infinite square grid of identical capacitors can easily be found by superposition, and the solution is found by explotting the symmetry of the grid. The mathematical problem presented in this work involves the solution of an infinite set of linear, inhomogenous difference equations which are solved by the method of separation of variables.
Cite
@article{arxiv.0905.0054,
title = {Capacitance between Two Points in an Infinite Grid},
author = {J. H. Asad and R. s. Hijjawi and A. J. Sakaji and J. M. Khalifeh},
journal= {arXiv preprint arXiv:0905.0054},
year = {2009}
}
Comments
16 pages, 5 figures and 1 table